86 citations · 497 across the 75 of their papers we have counts for
4 papers · 2 filters
On the computation of quantum characteristic exponents
R. Vilela Mendes, Ricardo Coutinho
A quantum characteristic exponent may be defined, with the same operational meaning as the classical Lyapunov exponent when the latter is expressed as a functional of densities. Ex…
Saddle scars: Existence and applications
R. Vilela Mendes
A quantum scar is a wave function which displays an high intensity in the region of a classical unstable periodic orbit. Saddle scars are states related to the unstable harmonic mo…
Collision states and scar effects in charged three-body problems
R. Vilela Mendes
Semiclassical methods form a bridge between classical systems and their quantum counterparts. An interesting phenomenon discovered in this connection is the scar effect, whereby en…
Time-Dependent Invariants for Dirac Equation and Newton-Wigner Position Operator
V. I. Man'ko, R. V. Mendes
For Dirac equation, operator-invariants containing explicit time-dependence in parallel to known time-dependent invariants of nonrelativistic Schrödinger equation are introduced an…